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Implementation of ELD Standards in Math Classrooms
Dean BallardDirector of Mathematics
Presented by
www.Corelearn.com
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Mental Math
•What is 4 x 19?
• How did you figure it out?
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The Ground We Will Cover
• The specific challenges EL students face in math
• Understanding the ELD standards to math
• Gain activities that highlight techniques to assist EL students as well as all learners
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English Language Development (ELD) Standards
The CA ELD Standards describe the key knowledge, skills, and abilities that students who are learning English as a new language need in order to access, engage with, and achieve in grade-level academic content.
CA ELD Standards p. 8
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ELD Proficiency Levels
• Emerging
• Expanding
• Bridging
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Integrated and Designated ELD
• Integrated ELD – Build and support English literacy while learning content. The content is the focus.
• Designated ELD – Protected time for EL students with focus on language instruction, utilizing core content material and the CA ELD Standards.
Check this out: YouTube: Three Minute Thriller on Integrated and Designated ELD
https://www.youtube.com/watch?v=ozGB4ItMHHE
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EL Student Population Data – USA2013-14: 9.3% (4.5 million)
2011-12: 9.2% (4.4 million)
2003-04: 8.8% (4.2 million)
Calif: 22.7% (now at 22.1%)
From NCES (National Center for Educational Statistics)
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8California Department of Education,, http://caaspp.edsource.org/sbac/statewide
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
CA SBAC 2017 by SubgroupsPercent Proficient or Above
12%19%
25% 25% 25%
38%
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Challenges for ELs to Overcome
• Limited prior and/or background knowledge
• Cultural differences
• Linguistics
• Polysemous words
• Syntactic features of word problems
• Semantic features
—California Math Framework, Universal Access, 2015
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Challenging Semantic Features• Long dense noun phrases
– The volume of a rectangular prism with sides 8, 10, and 12 cm
• Classifying adjectives that precede the noun– Prime number, rectangular prism
• Qualifiers that come after the noun – A number which can be divided by one and itself
• Conjunctions: – If, when, therefore, given, assume
—Schleppegrell, 2007
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Challenges with Math VocabularyDouble Meanings:table fraction evenbase rational tangent side irrational variablepoint operation volumemean expression etc.
Homophones:cent à sent or scentplane à plaintwo à to or toosum à somesine à sign
Multiple Terms for Same Idea:• altitude, height or length• add, sum• solve, answer, compute• justify, explain, prove
Small Words or Phrases:or fewer less thanmany then increaseand of decreaseany all left
Unique Terms:hypotenuse, parallelogram, coefficient, quadratic
Similar Sounding Words:tens vs. tenths then vs. thansixty vs. sixteen
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Density of Text
Mathematics is the most difficult content area material to read because there are more concepts per word, per sentence, and per paragraph than in any other subject;; the mixture of words, numerals, letters, symbols, and graphics requires the reader to shift from one type of vocabulary to another.
—Braselton & Decker, 1994
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Integrating the CA ELD Standards into K–12 Mathematics and Science Teaching and Learning
(CA ELD in Math document)
http://www.cde.ca.gov/sp/el/er/eldstandards.aspDeveloped by WestEd
Highlight ways in which the CA ELD Standards, when used in combination with the CA CCSSM and/or the CA NGSS, can be applied to mathematics and science language and content learning. (p. 14)
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CA ELD in Math document - Description
• Describes how each of 19 ELD standards can be addressed in math.
– Specific examples within each of four grade bands (K-2, 3-5, 6-8, and 9-12).
– Color coded tables for each grade band
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CA ELD in Math document - Techniques
• Discourse
• Visual Aids
• Grouping Strategies
• Organizing Lessons
• EL Specific Strategies
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CA ELD in Math document - Explore
• See grades 3-5, Part II, B, 5
• Review samples from CA ELD Math document
• Check-off techniques illustrated in the sample(s) you review.
– Use column A to check-off techniques on the Common Techniques chart
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Let's Dive Into Some Activities
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6-8: Examine the four division problems shown below.
Without calculating the quotients, which quotient is closest to 1? Explain and/or show your reasoning.
A. B. C. D.
Let’s Try Division
1920
÷118
120
÷118
14÷ 4 4 ÷
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CORE Word Knowledge Chart (Frayer type)Word
Fraction
Meaning (in own words)
Part of a whole. Write it as one number over the other number.One number divided by another number.
Visualization or Drawing
25
Examples
2 75 4
Other Characteristics or related words
NumeratorDenominatorImproper fraction
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Sorting & Matching Activities
• Sort cards or objects into groups based on common properties or characteristics.
• Students identify the rationale for how cards/concepts are sorted or matched.
• Each student keeps his/her own record.
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Symbol and Cue Card MatchingMatch Symbol cards with Cue cards (salmon)
• In groups of 2-4, use envelopes provide.• One person is the “judge” to check the answers.• Other people take turns matching a Cue card to a Symbol until all Cue cards are used up.
• Record correct answers. Put back if incorrect.
NOTE: More than one correct match usually possible.
Handout – 17-18
8 – n n less than 8The difference
between 8 and n
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Best Deal
• Individually: Guess which is the better deal. Record.
• Pair-share: Share guess and reasoning.
• Individually: Solve the problem. Show your work.
• Pair-share:– Explain what you would have to pay in each sale.– Compare similarities/differences between the two sales.– Share your solution and justification.
One store is having a 50% off sale. Another store has a 40% discount, with an additional 15% off of the sale price. Which sale should you take advantage of if you want the best reduction on a sweater that costs $68.79?
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• I think the 50% discount is _________ than the 40% plus an added 15% discount off of the sale price because _________.
• Turn to a partner and share your statement.
Turn and Talk with Sentence Frame
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Sentence Stems and Frames
• Specific sentence frames:A. The store with the best reduction is _____ because _____.
B. The sales at the two stores are similar because they both ______.
C. The sales at the two stores are different because ______.
D. Comparing the sales at the two stores is tricky because ______.
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Guess My Polygon Activity
Questions• Yes/No questions only• Must be related to shape characteristics
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Modify Lesson as Needed
• Choose either the 1st grade Lesson 3 or the 6th
grade Lesson 5. (EngageNY/Eureka Math)
• Read and modify a lesson to highlight and/or plan in scaffolds to support EL students.
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Wrap Up - What techniques were used to address language challenges?
• On your chart of Techniques, identify those you have seen or discussed today.
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Let’s Connect!Dean Ballard
Corelearn.com
CORE provides site-based job-embedded professional learning services for K-12 math and ELA.
Consortium on Reaching Excellence in Education @COREInc